A building with a height of 40 ft casts a shadow that is 16ft long. A person standing next to the building casts a shadow that is 2ft long. How tall is the person?

16ft long shadow of a building when the building true height is 40 ft

1 ft long shadow of a building when the building true height is 40/16 ft

2 ft long shadow of a person when the building true height is (40x2) / 16 = 5ft (ans)

Ratio:

40ft / 16ft = 2,5

soo ...

x / 2ft = 2,5

answer:

x = 5ft